7.2 Trigonometric Integrals

1. .

http://matrix.skku.ac.kr/cal-lab/cal-7-2-1.html

-1/3*sin(x)^3 + sin(x)


2. .

         http://matrix.skku.ac.kr/cal-lab/cal-7-2-2.html

-1/9*cos(x)^9 + 2/7*cos(x)^7 - 1/5*cos(x)^5


3. .

         http://matrix.skku.ac.kr/cal-lab/cal-7-2-3.html

1/2*x - 1/16*sin(8*x)


4. .

         http://matrix.skku.ac.kr/cal-lab/cal-7-2-4.html

-1/3*(3*cos(x)^2 - 1)/cos(x)^3


5. .

         http://matrix.skku.ac.kr/cal-lab/cal-7-2-5.html

1/48*sin(2*x)^3 + 1/16*x - 1/64*sin(4*x)


6. .

         http://matrix.skku.ac.kr/cal-lab/cal-7-2-6.html

 

1/3*(3*tan(x)^2 - 1)/tan(x)^3 + arctan(tan(x))


7. .

         http://matrix.skku.ac.kr/cal-lab/cal-7-2-7.html

2*sqrt(cos(x)) + 2/3/cos(x)^(3/2)


8. .

         http://matrix.skku.ac.kr/cal-lab/cal-7-2-8.html

-1/10*cos(5*x) + 1/2*cos(x)


 9. .

         http://matrix.skku.ac.kr/cal-lab/cal-7-2-9.html

-1/5*cos(t)^5 + 2/3*cos(t)^3 - cos(t)


10. .

         http://matrix.skku.ac.kr/cal-lab/cal-7-2-10.html

 

1/27*cos(3*x)^9 - 1/7*cos(3*x)^7 + 1/5*cos(3*x)^5 - 1/9*cos(3*x)^3


11. .

         http://matrix.skku.ac.kr/cal-lab/cal-7-2-11.html

3/128*t - 1/256*sin(8*t) + 1/2048*sin(16*t)


12. .

         http://matrix.skku.ac.kr/cal-lab/cal-7-2-12.html

 

-1/45*(5*cos(3*y)^2 - 3)/cos(3*y)^5


13. .

         http://matrix.skku.ac.kr/cal-lab/cal-7-2-13.html

 

-1/3/sin(x)^3


14. .

         http://matrix.skku.ac.kr/cal-lab/cal-7-2-14.html

 

-1/2/tan(t)^2


15. .

         http://matrix.skku.ac.kr/cal-lab/cal-7-2-15.html

 

-1/18*cos(9*y) + 1/2*cos(y)


16. .

         http://matrix.skku.ac.kr/cal-lab/cal-7-2-16.html

 

1/6*(3*tan(2*x)^2 - 1)/tan(2*x)^3 + 1/2*arctan(tan(2*x))


17. .

         http://matrix.skku.ac.kr/cal-lab/cal-7-2-17.html

 

1/24


18. .

         http://matrix.skku.ac.kr/cal-lab/cal-7-2-18.html

 

-1/9*sin(x)^9 + 1/7*sin(x)^7-1/9*sin(x)^9 + 1/7*sin(x)^7

 

19. .

         http://matrix.skku.ac.kr/cal-lab/cal-7-2-19.html

 

5/12


20. .

         http://matrix.skku.ac.kr/cal-lab/cal-7-2-20.html

 

1/2*(4*x*sin(2*x)*sin(x) + 4*x*cos(2*x)*cos(x) + (sin(2*x)^2 +cos(2*x)^2

+ 2*cos(2*x) + 1)*log(sin(x)^2 + cos(x)^2 - 2*sin(x) + 1) -(sin(2*x)^2+ cos(2*x)^2

+ 2*cos(2*x) + 1)*log(sin(x)^2 + cos(x)^2 + 2*sin(x) + 1) + 4*x*cos(x))/(sin(2*x)^2 + cos(2*x)^2 + 2*cos(2*x) + 1)


21. .

         http://matrix.skku.ac.kr/cal-lab/cal-7-2-21.html

 

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